Q1) National Survey of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was "What do you believe are chances you will be married in next ten years?" Here is two-way table of the responses by sex:
|
|
Female
|
Male
|
|
Almost no chance
|
119
|
103
|
|
Some chance, but probably not
|
150
|
171
|
|
A 50-50 chance
|
447
|
512
|
|
A good chance
|
735
|
710
|
|
Almost certain
|
1174
|
756
|
i) Mention the null and alternative hypothesis to test if distributions of responses for chance to be married in next ten years and gender are statistically significant.
ii) Determine expected cell counts if null hypothesis is true and show them in a two-way table.
iii) Determine the chi-square() statistic?
iv) How many degrees of freedom are there?
v) Are the differences in distributions of responses for chance to be married in the next ten years and gender statistically significant at the α = 5% level? Why?